しようとしない

not try to

→ 為る
phrase Rare #36,045
not try to Formed with the volitional form of a verb plus としない. It describes someone making no attempt or refusing to do something; depending on context, “won’t” may sound more natural in English.
JA: 彼は何もしようとしない。
EN: He won’t try to do anything.

しかし誰も何もしようとしないわね

But no one seems willing to do anything.

要は彼女が一人で宿題をしようとしないことである

The point is that she refuses to do her homework by herself.

彼女はどうしても離婚同意しようとしない

She absolutely refuses to agree to the divorce.

日本人の多くは英語に憧れているにもかかわらず英語を勉強しようとしない

Although many Japanese people aspire to speak English, they don't try to study it.